Details

Time bar (total: 19.8s)

sample50.0ms

Algorithm
intervals
Results
22.0ms347×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
25415
39315
414515
530015
679115
7264215
done500015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.5b
(/ y (* z 3.0))
6.1b
(/ t (* (* z 3.0) y))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
135.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
19.0ms
(* (* z 3.0) y)
15.0ms
(/ y (* z 3.0))
20.0ms
(/ t (* (* z 3.0) y))

series174.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
24.0ms
(* (* z 3.0) y)
24.0ms
(/ y (* z 3.0))
38.0ms
(/ t (* (* z 3.0) y))

simplify2.3s

Counts
127 → 127
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01841873
15111735
231841479
done50011464

prune393.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.5b
(/ t (* z 3.0))
0.5b
(/ y (* z 3.0))
4.9b
(/ (/ t (* z 3.0)) y)

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
116.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
15.0ms
(/ t (* z 3.0))
16.0ms
(/ y (* z 3.0))
35.0ms
(/ (/ t (* z 3.0)) y)

series192.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
33.0ms
(/ t (* z 3.0))
28.0ms
(/ y (* z 3.0))
37.0ms
(/ (/ t (* z 3.0)) y)

simplify1.7s

Counts
155 → 155
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02302245
16002093
230231835
done50011820

prune608.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ y 3.0) z) (/ (/ t (* z 3.0)) y))
0.2b
(/ (/ y 3.0) z)
0.5b
(/ t (* z 3.0))
4.9b
(/ (/ t (* z 3.0)) y)

rewrite502.0ms

Algorithm
rewrite-expression-head
Rules
3128×times-frac
1597×add-sqr-sqrt
1582×*-un-lft-identity
1576×add-cube-cbrt
1075×prod-diff
287×div-inv
43×fma-neg
23×add-exp-log add-cbrt-cube associate-/l*
10×cbrt-undiv div-exp
7×associate-/r*
6×add-log-exp difference-of-squares
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×prod-exp cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
4 → 1286
Calls
4 calls:
207.0ms
(- (/ (/ y 3.0) z) (/ (/ t (* z 3.0)) y))
19.0ms
(/ (/ y 3.0) z)
13.0ms
(/ t (* z 3.0))
25.0ms
(/ (/ t (* z 3.0)) y)

series171.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (/ (/ y 3.0) z) (/ (/ t (* z 3.0)) y))
39.0ms
(/ (/ y 3.0) z)
21.0ms
(/ t (* z 3.0))
37.0ms
(/ (/ t (* z 3.0)) y)

simplify1.7s

Counts
1298 → 1298
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0147476541
1328169823
done500055763

prune6.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
0.3b
(* (/ 1 z) (/ t 3.0))
0.5b
(/ y (* z 3.0))
4.9b
(/ (* (/ 1 z) (/ t 3.0)) y)

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
55×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac
39×add-cbrt-cube
36×add-cube-cbrt
27×div-exp
23×associate-+l+
21×prod-diff
17×prod-exp
15×cbrt-undiv
13×associate-*r* associate-*l*
9×cbrt-unprod add-log-exp
7×div-inv
6×pow1 unswap-sqr
5×fma-def
4×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u associate-/l*
3×associate-/l/
2×frac-times frac-2neg associate-*r/ associate-*l/ frac-add clear-num sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 164
Calls
4 calls:
110.0ms
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
49.0ms
(* (/ 1 z) (/ t 3.0))
26.0ms
(/ y (* z 3.0))
36.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

series218.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
30.0ms
(* (/ 1 z) (/ t 3.0))
28.0ms
(/ y (* z 3.0))
56.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

simplify450.0ms

Counts
176 → 176
Iterations

Useful iterations: done (443.0ms)

IterNodesCost
02782650
18382440
done50001861

prune536.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes243.0ms

Accuracy

9.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02136
12436
done2436

end0.0ms

sample1.6s

Algorithm
intervals
Results
966.0ms11077×body80valid